Let [A] = [[aij]] n×n be an interval for [aij] = [-aij, `aij] (i, j=1, 2,..., n). In transformation a matrix into upper triangular matrix by Gauss method, entries under the main diameter should be zero by elementary row operations. In this paper we consider zero as an interval, and, we would apply Gauss ELIMINATION method on interval matrix by arithmetic operations on intervals and the definition of comparison method interval dates, we would use Gauss ELIMINATION method on interval matrix.